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1 /* |
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2 |
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3 Copyright (C) 2004 David Bateman |
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4 Copyright (C) 1998-2004 Andy Adler |
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5 |
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6 Octave is free software; you can redistribute it and/or modify it |
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7 under the terms of the GNU General Public License as published by the |
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8 Free Software Foundation; either version 2, or (at your option) any |
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9 later version. |
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10 |
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11 Octave is distributed in the hope that it will be useful, but WITHOUT |
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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14 for more details. |
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15 |
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16 You should have received a copy of the GNU General Public License |
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17 along with this program; see the file COPYING. If not, write to the |
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18 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, |
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19 Boston, MA 02110-1301, USA. |
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20 |
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21 */ |
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22 |
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23 #if !defined (octave_CSparse_h) |
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24 #define octave_CSparse_h 1 |
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25 |
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26 #include "dMatrix.h" |
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27 #include "dNDArray.h" |
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28 #include "CNDArray.h" |
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29 #include "dColVector.h" |
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30 #include "CColVector.h" |
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31 #include "oct-cmplx.h" |
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32 |
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33 #include "CmplxDET.h" |
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34 #include "MSparse.h" |
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35 #include "MSparse-defs.h" |
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36 #include "Sparse-op-defs.h" |
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37 #include "MatrixType.h" |
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38 |
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39 class SparseMatrix; |
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40 class SparseBoolMatrix; |
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41 |
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42 class |
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43 SparseComplexMatrix : public MSparse<Complex> |
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44 { |
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45 public: |
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46 |
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47 typedef void (*solve_singularity_handler) (double rcond); |
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48 |
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49 SparseComplexMatrix (void) : MSparse<Complex> () { } |
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50 |
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51 SparseComplexMatrix (octave_idx_type r, octave_idx_type c) : MSparse<Complex> (r, c) { } |
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52 |
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53 explicit SparseComplexMatrix (octave_idx_type r, octave_idx_type c, Complex val) |
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54 : MSparse<Complex> (r, c, val) { } |
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55 |
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56 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, double val) |
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57 : MSparse<Complex> (r, c, Complex (val)) { } |
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58 |
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59 SparseComplexMatrix (const SparseComplexMatrix& a) |
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60 : MSparse<Complex> (a) { } |
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61 |
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62 SparseComplexMatrix (const SparseComplexMatrix& a, const dim_vector& dv) |
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63 : MSparse<Complex> (a, dv) { } |
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64 |
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65 SparseComplexMatrix (const MSparse<Complex>& a) : MSparse<Complex> (a) { } |
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66 |
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67 explicit SparseComplexMatrix (const ComplexMatrix& a) |
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68 : MSparse<Complex> (a) { } |
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69 |
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70 explicit SparseComplexMatrix (const ComplexNDArray& a) |
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71 : MSparse<Complex> (a) { } |
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72 |
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73 explicit SparseComplexMatrix (const Array<Complex> a, const Array<octave_idx_type>& r, |
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74 const Array<octave_idx_type>& c, octave_idx_type nr = -1, |
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75 octave_idx_type nc = -1, bool sum_terms = true) |
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76 : MSparse<Complex> (a, r, c, nr, nc, sum_terms) { } |
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77 |
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78 explicit SparseComplexMatrix (const Array<Complex> a, |
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79 const Array<double>& r, |
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80 const Array<double>& c, octave_idx_type nr = -1, |
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81 octave_idx_type nc = -1, bool sum_terms = true) |
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82 : MSparse<Complex> (a, r, c, nr, nc, sum_terms) { } |
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83 |
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84 explicit SparseComplexMatrix (const SparseMatrix& a); |
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85 |
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86 explicit SparseComplexMatrix (const SparseBoolMatrix& a); |
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87 |
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88 SparseComplexMatrix (octave_idx_type r, octave_idx_type c, octave_idx_type num_nz) |
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89 : MSparse<Complex> (r, c, num_nz) { } |
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90 |
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91 SparseComplexMatrix& operator = (const SparseComplexMatrix& a) |
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92 { |
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93 MSparse<Complex>::operator = (a); |
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94 return *this; |
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95 } |
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96 |
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97 bool operator == (const SparseComplexMatrix& a) const; |
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98 bool operator != (const SparseComplexMatrix& a) const; |
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99 |
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100 bool is_hermitian (void) const; |
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101 |
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102 SparseComplexMatrix max (int dim = 0) const; |
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103 SparseComplexMatrix max (Array2<octave_idx_type>& index, int dim = 0) const; |
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104 SparseComplexMatrix min (int dim = 0) const; |
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105 SparseComplexMatrix min (Array2<octave_idx_type>& index, int dim = 0) const; |
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106 |
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107 SparseComplexMatrix& insert (const SparseComplexMatrix& a, octave_idx_type r, octave_idx_type c); |
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108 SparseComplexMatrix& insert (const SparseMatrix& a, octave_idx_type r, octave_idx_type c); |
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109 |
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110 SparseComplexMatrix concat (const SparseComplexMatrix& rb, |
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111 const Array<octave_idx_type>& ra_idx); |
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112 SparseComplexMatrix concat (const SparseMatrix& rb, |
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113 const Array<octave_idx_type>& ra_idx); |
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114 |
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115 ComplexMatrix matrix_value (void) const; |
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116 |
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117 SparseComplexMatrix hermitian (void) const; // complex conjugate transpose |
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118 SparseComplexMatrix transpose (void) const |
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119 { return MSparse<Complex>::transpose (); } |
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120 |
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121 friend SparseComplexMatrix conj (const SparseComplexMatrix& a); |
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122 |
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123 private: |
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124 SparseComplexMatrix dinverse (MatrixType &mattyp, octave_idx_type& info, |
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125 double& rcond, const bool force = false, |
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126 const bool calccond = true) const; |
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127 |
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128 SparseComplexMatrix tinverse (MatrixType &mattyp, octave_idx_type& info, |
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129 double& rcond, const bool force = false, |
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130 const bool calccond = true) const; |
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131 |
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132 public: |
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133 SparseComplexMatrix inverse (void) const; |
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134 SparseComplexMatrix inverse (MatrixType& mattype) const; |
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135 SparseComplexMatrix inverse (MatrixType& mattype, |
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136 octave_idx_type& info) const; |
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137 SparseComplexMatrix inverse (MatrixType& mattype, octave_idx_type& info, |
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138 double& rcond, int force = 0, |
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139 int calc_cond = 1) const; |
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140 |
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141 ComplexDET determinant (void) const; |
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142 ComplexDET determinant (octave_idx_type& info) const; |
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143 ComplexDET determinant (octave_idx_type& info, double& rcond, |
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144 int calc_cond = 1) const; |
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145 |
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146 private: |
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147 // Diagonal matrix solvers |
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148 ComplexMatrix dsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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149 double& rcond, solve_singularity_handler sing_handler, |
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150 bool calc_cond = false) const; |
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151 |
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152 ComplexMatrix dsolve (MatrixType &typ, const ComplexMatrix& b, |
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153 octave_idx_type& info, double& rcond, |
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154 solve_singularity_handler sing_handler, |
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155 bool calc_cond = false) const; |
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156 |
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157 SparseComplexMatrix dsolve (MatrixType &typ, const SparseMatrix& b, |
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158 octave_idx_type& info, double& rcond, |
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159 solve_singularity_handler sing_handler, |
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160 bool calc_cond = false) const; |
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161 |
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162 SparseComplexMatrix dsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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163 octave_idx_type& info, double& rcond, |
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164 solve_singularity_handler sing_handler, |
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165 bool calc_cond = false) const; |
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166 |
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167 // Upper triangular matrix solvers |
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168 ComplexMatrix utsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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169 double& rcond, solve_singularity_handler sing_handler, |
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170 bool calc_cond = false) const; |
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171 |
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172 ComplexMatrix utsolve (MatrixType &typ, const ComplexMatrix& b, |
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173 octave_idx_type& info, double& rcond, |
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174 solve_singularity_handler sing_handler, |
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175 bool calc_cond = false) const; |
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176 |
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177 SparseComplexMatrix utsolve (MatrixType &typ, const SparseMatrix& b, |
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178 octave_idx_type& info, double& rcond, |
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179 solve_singularity_handler sing_handler, |
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180 bool calc_cond = false) const; |
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181 |
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182 SparseComplexMatrix utsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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183 octave_idx_type& info, double& rcond, |
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184 solve_singularity_handler sing_handler, |
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185 bool calc_cond = false) const; |
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186 |
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187 // Lower triangular matrix solvers |
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188 ComplexMatrix ltsolve (MatrixType &typ, const Matrix& b, |
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189 octave_idx_type& info, double& rcond, |
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190 solve_singularity_handler sing_handler, |
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191 bool calc_cond = false) const; |
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192 |
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193 ComplexMatrix ltsolve (MatrixType &typ, const ComplexMatrix& b, |
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194 octave_idx_type& info, double& rcond, |
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195 solve_singularity_handler sing_handler, |
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196 bool calc_cond = false) const; |
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197 |
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198 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseMatrix& b, |
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199 octave_idx_type& info, double& rcond, |
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200 solve_singularity_handler sing_handler, |
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201 bool calc_cond = false) const; |
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202 |
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203 SparseComplexMatrix ltsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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204 octave_idx_type& info, double& rcond, |
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205 solve_singularity_handler sing_handler, |
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206 bool calc_cond = false) const; |
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207 |
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208 // Tridiagonal matrix solvers |
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209 ComplexMatrix trisolve (MatrixType &typ, const Matrix& b, |
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210 octave_idx_type& info, double& rcond, |
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211 solve_singularity_handler sing_handler, |
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212 bool calc_cond = false) const; |
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213 |
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214 ComplexMatrix trisolve (MatrixType &typ, const ComplexMatrix& b, |
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215 octave_idx_type& info, double& rcond, |
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216 solve_singularity_handler sing_handler, |
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217 bool calc_cond = false) const; |
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218 |
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219 SparseComplexMatrix trisolve (MatrixType &typ, const SparseMatrix& b, |
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220 octave_idx_type& info, double& rcond, |
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221 solve_singularity_handler sing_handler, |
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222 bool calc_cond = false) const; |
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223 |
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224 SparseComplexMatrix trisolve (MatrixType &typ, const SparseComplexMatrix& b, |
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225 octave_idx_type& info, double& rcond, |
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226 solve_singularity_handler sing_handler, |
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227 bool calc_cond = false) const; |
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228 |
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229 // Banded matrix solvers (umfpack/cholesky) |
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230 ComplexMatrix bsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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231 double& rcond, solve_singularity_handler sing_handler, |
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232 bool calc_cond = false) const; |
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233 |
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234 ComplexMatrix bsolve (MatrixType &typ, const ComplexMatrix& b, |
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235 octave_idx_type& info, double& rcond, |
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236 solve_singularity_handler sing_handler, |
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237 bool calc_cond = false) const; |
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238 |
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239 SparseComplexMatrix bsolve (MatrixType &typ, const SparseMatrix& b, |
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240 octave_idx_type& info, double& rcond, |
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241 solve_singularity_handler sing_handler, |
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242 bool calc_cond = false) const; |
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243 |
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244 SparseComplexMatrix bsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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245 octave_idx_type& info, double& rcond, |
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246 solve_singularity_handler sing_handler, |
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247 bool calc_cond = false) const; |
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248 |
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249 // Full matrix solvers (umfpack/cholesky) |
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250 void * factorize (octave_idx_type& err, double &rcond, Matrix &Control, |
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251 Matrix &Info, solve_singularity_handler sing_handler, |
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252 bool calc_cond) const; |
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253 |
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254 ComplexMatrix fsolve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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255 double& rcond, solve_singularity_handler sing_handler, |
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256 bool calc_cond = false) const; |
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257 |
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258 ComplexMatrix fsolve (MatrixType &typ, const ComplexMatrix& b, |
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259 octave_idx_type& info, double& rcond, |
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260 solve_singularity_handler sing_handler, |
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261 bool calc_cond = false) const; |
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262 |
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263 SparseComplexMatrix fsolve (MatrixType &typ, const SparseMatrix& b, |
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264 octave_idx_type& info, double& rcond, |
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265 solve_singularity_handler sing_handler, |
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266 bool calc_cond = false) const; |
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267 |
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268 SparseComplexMatrix fsolve (MatrixType &typ, const SparseComplexMatrix& b, |
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269 octave_idx_type& info, double& rcond, |
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270 solve_singularity_handler sing_handler, |
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271 bool calc_cond = false) const; |
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272 |
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273 public: |
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274 // Generic interface to solver with no probing of type |
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275 ComplexMatrix solve (MatrixType &typ, const Matrix& b) const; |
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276 ComplexMatrix solve (MatrixType &typ, const Matrix& b, |
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277 octave_idx_type& info) const; |
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278 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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279 double& rcond) const; |
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280 ComplexMatrix solve (MatrixType &typ, const Matrix& b, octave_idx_type& info, |
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281 double& rcond, solve_singularity_handler sing_handler, |
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282 bool singular_fallback = true) const; |
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283 |
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284 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b) const; |
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285 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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286 octave_idx_type& info) const; |
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287 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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288 octave_idx_type& info, double& rcond) const; |
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289 ComplexMatrix solve (MatrixType &typ, const ComplexMatrix& b, |
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290 octave_idx_type& info, double& rcond, |
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291 solve_singularity_handler sing_handler, |
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292 bool singular_fallback = true) const; |
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293 |
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294 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b) const; |
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295 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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296 octave_idx_type& info) const; |
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297 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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298 octave_idx_type& info, double& rcond) const; |
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299 SparseComplexMatrix solve (MatrixType &typ, const SparseMatrix& b, |
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300 octave_idx_type& info, double& rcond, |
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301 solve_singularity_handler sing_handler, |
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302 bool singular_fallback = true) const; |
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303 |
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304 SparseComplexMatrix solve (MatrixType &typ, |
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305 const SparseComplexMatrix& b) const; |
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306 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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307 octave_idx_type& info) const; |
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308 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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309 octave_idx_type& info, double& rcond) const; |
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310 SparseComplexMatrix solve (MatrixType &typ, const SparseComplexMatrix& b, |
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311 octave_idx_type& info, double& rcond, |
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312 solve_singularity_handler sing_handler, |
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313 bool singular_fallback = true) const; |
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314 |
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315 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b) const; |
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316 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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317 octave_idx_type& info) const; |
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318 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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319 octave_idx_type& info, double& rcond) const; |
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320 ComplexColumnVector solve (MatrixType &typ, const ColumnVector& b, |
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321 octave_idx_type& info, double& rcond, |
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322 solve_singularity_handler sing_handler) const; |
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323 |
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324 ComplexColumnVector solve (MatrixType &typ, |
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325 const ComplexColumnVector& b) const; |
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326 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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327 octave_idx_type& info) const; |
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328 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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329 octave_idx_type& info, double& rcond) const; |
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330 ComplexColumnVector solve (MatrixType &typ, const ComplexColumnVector& b, |
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331 octave_idx_type& info, double& rcond, |
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332 solve_singularity_handler sing_handler) const; |
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333 |
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334 // Generic interface to solver with probing of type |
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335 ComplexMatrix solve (const Matrix& b) const; |
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336 ComplexMatrix solve (const Matrix& b, octave_idx_type& info) const; |
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337 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, |
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338 double& rcond) const; |
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339 ComplexMatrix solve (const Matrix& b, octave_idx_type& info, double& rcond, |
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340 solve_singularity_handler sing_handler) const; |
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341 |
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342 ComplexMatrix solve (const ComplexMatrix& b) const; |
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343 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info) const; |
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344 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, |
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345 double& rcond) const; |
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346 ComplexMatrix solve (const ComplexMatrix& b, octave_idx_type& info, |
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347 double& rcond, solve_singularity_handler sing_handler) const; |
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348 |
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349 SparseComplexMatrix solve (const SparseMatrix& b) const; |
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350 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info) const; |
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351 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info, |
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352 double& rcond) const; |
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353 SparseComplexMatrix solve (const SparseMatrix& b, octave_idx_type& info, |
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354 double& rcond, |
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355 solve_singularity_handler sing_handler) const; |
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356 |
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357 SparseComplexMatrix solve (const SparseComplexMatrix& b) const; |
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358 SparseComplexMatrix solve (const SparseComplexMatrix& b, |
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359 octave_idx_type& info) const; |
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360 SparseComplexMatrix solve (const SparseComplexMatrix& b, |
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361 octave_idx_type& info, double& rcond) const; |
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362 SparseComplexMatrix solve (const SparseComplexMatrix& b, |
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363 octave_idx_type& info, double& rcond, |
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5164
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364 solve_singularity_handler sing_handler) const; |
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365 |
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366 ComplexColumnVector solve (const ColumnVector& b) const; |
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5275
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367 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info) const; |
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368 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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5164
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369 double& rcond) const; |
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5697
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370 ComplexColumnVector solve (const ColumnVector& b, octave_idx_type& info, |
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371 double& rcond, |
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5164
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372 solve_singularity_handler sing_handler) const; |
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373 |
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374 ComplexColumnVector solve (const ComplexColumnVector& b) const; |
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5697
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375 ComplexColumnVector solve (const ComplexColumnVector& b, |
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376 octave_idx_type& info) const; |
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5275
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377 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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5164
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378 double& rcond) const; |
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5275
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379 ComplexColumnVector solve (const ComplexColumnVector& b, octave_idx_type& info, |
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5164
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380 double& rcond, |
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381 solve_singularity_handler sing_handler) const; |
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382 |
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383 SparseComplexMatrix squeeze (void) const; |
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384 |
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385 SparseComplexMatrix index (idx_vector& i, int resize_ok) const; |
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386 |
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387 SparseComplexMatrix index (idx_vector& i, idx_vector& j, int resize_ok) const; |
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388 |
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389 SparseComplexMatrix index (Array<idx_vector>& ra_idx, int resize_ok) const; |
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390 |
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391 SparseComplexMatrix reshape (const dim_vector& new_dims) const; |
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392 |
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5697
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393 SparseComplexMatrix permute (const Array<octave_idx_type>& vec, |
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394 bool inv = false) const; |
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5164
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395 |
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5275
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396 SparseComplexMatrix ipermute (const Array<octave_idx_type>& vec) const; |
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5164
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397 |
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398 SparseComplexMatrix map (c_c_Mapper f) const; |
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399 SparseMatrix map (d_c_Mapper f) const; |
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400 SparseBoolMatrix map (b_c_Mapper f) const; |
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401 |
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402 SparseComplexMatrix& apply (c_c_Mapper f); |
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403 |
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404 bool any_element_is_inf_or_nan (void) const; |
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405 bool all_elements_are_real (void) const; |
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406 bool all_integers (double& max_val, double& min_val) const; |
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407 bool too_large_for_float (void) const; |
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408 |
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409 SparseBoolMatrix operator ! (void) const; |
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410 |
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411 SparseBoolMatrix all (int dim = -1) const; |
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412 SparseBoolMatrix any (int dim = -1) const; |
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413 |
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414 SparseComplexMatrix cumprod (int dim = -1) const; |
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415 SparseComplexMatrix cumsum (int dim = -1) const; |
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416 SparseComplexMatrix prod (int dim = -1) const; |
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417 SparseComplexMatrix sum (int dim = -1) const; |
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418 SparseComplexMatrix sumsq (int dim = -1) const; |
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419 SparseMatrix abs (void) const; |
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420 |
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5275
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421 SparseComplexMatrix diag (octave_idx_type k = 0) const; |
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5164
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422 |
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423 // i/o |
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424 friend std::ostream& operator << (std::ostream& os, |
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425 const SparseComplexMatrix& a); |
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426 friend std::istream& operator >> (std::istream& is, |
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427 SparseComplexMatrix& a); |
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428 }; |
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429 |
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430 extern SparseComplexMatrix operator * (const SparseMatrix&, |
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431 const SparseComplexMatrix&); |
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432 extern SparseComplexMatrix operator * (const SparseComplexMatrix&, |
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433 const SparseMatrix&); |
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434 extern SparseComplexMatrix operator * (const SparseComplexMatrix&, |
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435 const SparseComplexMatrix&); |
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436 |
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5429
|
437 extern ComplexMatrix operator * (const Matrix&, |
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438 const SparseComplexMatrix&); |
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439 extern ComplexMatrix operator * (const ComplexMatrix&, |
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440 const SparseMatrix&); |
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441 extern ComplexMatrix operator * (const ComplexMatrix&, |
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442 const SparseComplexMatrix&); |
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443 |
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444 extern ComplexMatrix operator * (const SparseMatrix&, |
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445 const ComplexMatrix&); |
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446 extern ComplexMatrix operator * (const SparseComplexMatrix&, |
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447 const Matrix&); |
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448 extern ComplexMatrix operator * (const SparseComplexMatrix&, |
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449 const ComplexMatrix&); |
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450 |
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5164
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451 extern SparseComplexMatrix min (const Complex& c, |
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452 const SparseComplexMatrix& m); |
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453 extern SparseComplexMatrix min (const SparseComplexMatrix& m, |
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454 const Complex& c); |
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455 extern SparseComplexMatrix min (const SparseComplexMatrix& a, |
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456 const SparseComplexMatrix& b); |
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457 |
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458 extern SparseComplexMatrix max (const Complex& c, |
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459 const SparseComplexMatrix& m); |
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460 extern SparseComplexMatrix max (const SparseComplexMatrix& m, |
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461 const Complex& c); |
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462 extern SparseComplexMatrix max (const SparseComplexMatrix& a, |
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463 const SparseComplexMatrix& b); |
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464 |
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465 SPARSE_SMS_CMP_OP_DECLS (SparseComplexMatrix, Complex) |
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466 SPARSE_SMS_BOOL_OP_DECLS (SparseComplexMatrix, Complex) |
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467 |
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468 SPARSE_SSM_CMP_OP_DECLS (Complex, SparseComplexMatrix) |
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469 SPARSE_SSM_BOOL_OP_DECLS (Complex, SparseComplexMatrix) |
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470 |
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471 SPARSE_SMSM_CMP_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix) |
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472 SPARSE_SMSM_BOOL_OP_DECLS (SparseComplexMatrix, SparseComplexMatrix) |
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473 |
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474 SPARSE_FORWARD_DEFS (MSparse, SparseComplexMatrix, ComplexMatrix, Complex) |
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475 |
|
5351
|
476 #ifdef IDX_TYPE_LONG |
|
5322
|
477 #define UMFPACK_ZNAME(name) umfpack_zl_ ## name |
|
|
478 #else |
|
|
479 #define UMFPACK_ZNAME(name) umfpack_zi_ ## name |
|
|
480 #endif |
|
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481 |
|
5164
|
482 #endif |
|
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483 |
|
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484 /* |
|
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485 ;;; Local Variables: *** |
|
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486 ;;; mode: C++ *** |
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|
487 ;;; End: *** |
|
|
488 */ |
